0.1428571428571429 in the simplest form????

This does not make sense to me

solong [7]

To find area you have to multiply length x width. so to find your answer the equation should be 15/22 x 2/5

6 0

2 years ago

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Evaluate the expression using a calculator:

tester [92]

The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

a⁻ⁿ = 1/aⁿ; negative exponent
(ab)ⁿ = aⁿ × bⁿ; power of a product rule
aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
aⁿ/aˣ = aⁿ⁻ˣ; division rule
$a^{\frac{x}{y} } = \sqrt[y]{a^x}$ ; fractional exponent

<h3>Calculation:</h3>

The given expression is $126^{-3/4}$

Using calculator: $126^{-3/4}$ = 0.0265

Applying the exponent rule for evaluating the given expression:

$126^{-3/4}$

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ $126^{-3/4}=\frac{1}{126^{3/4}}$

Applying fractional exponent rule;

I.e., $a^{\frac{x}{y} } = \sqrt[y]{a^x}$

⇒ $\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }$

⇒ 1/ $\sqrt[4]{2000376}$

⇒ 1/37.6077

⇒ 0.0265

Therefore, the value of the given expression is 0.0265.

Learn more about exponent rules here:

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4 0

2 months ago

Brainlist. Neeed this ASAP. please its on Simplify Expression and i put the picture below

Kamila [148]

Answer:

G

Step-by-step explanation:

the perimeter is the sum of all sides so we have

$P=a^{2} -ab+a-2a+a^2+ab\\\\P=(a^2-2a^2+a^2)+(-ab+2b)+a\\\\P=(0a^2)+(ab)+a\\\\P=ab+a$

8 0

2 years ago

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The hydrogen ion concentration (h+) in a certain cleaning compound is (h+)=3.2x10^-11 use the formula ph=-log(h+) to find the pH

Furkat [3]

Answer:

The $pH$ of the clean compound is approximately 10.495.

Step-by-step explanation:

If the cleaning ion concentration of the cleaning compound is $[H^{+}] = 3.2\times 10^{-11}$ , then the $pH$ , no unit, of the compound is:

$pH = -\log_{10} [H^{+}]$ (1)

$pH = -\log_{10} (3.2\times 10^{-11})$

$pH = -\log_{10} 3.2 - \log_{10} (10^{-11})$

$pH = -\log_{10} \frac{32}{10} +11$

$pH = -\log_{10} 32 + \log_{10} 10 + 11$

$pH = -\log_{10} 32 +12$

$pH \approx 10.495$

The $pH$ of the clean compound is approximately 10.495.

6 0

2 years ago

a box with a square base and open top must have a volume of 70304 c m 3 cm3 . we wish to find the dimensions of the box that min

Dmitriy789 [7]

The box should have base 52 cm by 52 cm and height 26 cm.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.

The Volume of a box with a square base x by x cm and height h cm is

$V = x^2h$

Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.

The surface area of the box described is $A = x^2 + 4xh$

We need A as a function of x alone, so we'll use the fact that

$V = x^2h= 70304 cm^3$

⇒ $h = \frac{70304}{x^2}$

So, the area becomes,

$A = x^2+4x(\frac{70304}{x^2})\\ A = x^2 + \frac{281216}{x}$

We want to minimize A, so

$A' = 2x - \frac{281216}{x^2} =0\\\frac{2x^3-281216}{x^2}=0\\ {2x^3-281216} = 0\\x^3 - 140608=0\\x^3 = 140608\\x = 52$

The second derivative test verifies that A has a minimum at this critical number:

$A'' = 2+\frac{562432}{x^3}$ which is positive at x = 52.

Now,

$h = \frac{70304}{x^2}= \frac{70304}{(52)^2}=26$

Hence, The box should have base 52 cm by 52 cm and height 26 cm.

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8 0

11 months ago